{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2.5.2\n"
     ]
    }
   ],
   "source": [
    "import paddle\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "print(paddle.__version__)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x169723e82e8>]"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data_points=np.linspace(0,60,600)\n",
    "dataset=np.sin(data_points)\n",
    "plt.plot(dataset)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(5, 100, 1)\n",
      "(5, 100, 1)\n"
     ]
    }
   ],
   "source": [
    "time_steps=100\n",
    "input_size=1\n",
    "dataX,dataY=[],[]\n",
    "for i in range(500):\n",
    "    x=dataset[i]\n",
    "    y=dataset[i+1]\n",
    "    dataX.append(x)\n",
    "    dataY.append(y)\n",
    "dataX,dataY = np.array(dataX),np.array(dataY)\n",
    "dataX=np.reshape(dataX,(-1,time_steps,input_size))\n",
    "dataY=np.reshape(dataY,(-1,time_steps,input_size))\n",
    "print(dataX.shape)\n",
    "print(dataY.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [],
   "source": [
    "dataX=paddle.to_tensor(dataX,dtype='float32')\n",
    "dataY=paddle.to_tensor(dataY,dtype='float32')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "class rnn(paddle.nn.Layer):\n",
    "    def __init__(self):\n",
    "        super(rnn,self).__init__()\n",
    "        self.rnn=paddle.nn.SimpleRNN(1,128,2,activation=\"relu\")\n",
    "        self.fc=paddle.nn.Linear(in_features=128,out_features=1)\n",
    "    def forward(self,x):\n",
    "        x,h=self.rnn(x)\n",
    "        x=self.fc(x)\n",
    "        return x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x169722d55c0>]"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = rnn()\n",
    "out = model(dataX)\n",
    "data = np.reshape(out,(-1,))\n",
    "plt.plot(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [],
   "source": [
    "n_iterations=600\n",
    "learning_rate=0.0001\n",
    "model=rnn()\n",
    "opt = paddle.optimizer.Adam(learning_rate=learning_rate,parameters=model.parameters())\n",
    "mse_loss = paddle.nn.MSELoss()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "99 \t MSE Tensor(shape=[], dtype=float32, place=Place(cpu), stop_gradient=False,\n",
      "       0.03285430)\n"
     ]
    },
    {
     "data": {
      "image/png": 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DO4/PbXk+l05y65EZvj6m+9WNi4UK+/MZMilvmd917TxPnCtQqY9HyH/99BqHZnIc2Tex5fm7rp1HKfirMc2lXkN3Ht+6xm47MksmmRjbuM6sbHK5VOPEtjWWSiZ41bHZse1J8GjKb7lm3xWhqXcen+f5pQ3Wy+OPmooCI4JBRO4WkWdE5DkReU+P1z8oIo/4P98UkbWu15pdr91vYjxh8OjZNe64at8Vz7/qmPfcN15edz0kAB47u8bh2RyHZnNbns9nU9x0cJpHx7Q5njjnOeRfdezKOPfXXL2Px86ujS3SRjuYL6xXODjTuW+vOraPRkvx5PnxBBM8cmaN11zdf409PqY19vjL68zkUhxf2JrnkUsnue3ozNisUn0/XnX0ynt2x1X7eOr8eIT8cqnKmZVNXn3synG9esxzaQqRBYOIJIEPAW8CbgXeJiK3dl+jlPpnSqk7lFJ3AP8F+P+6Xt7Uryml3hx1PGGwslHj/HqFVx698pDbn89yeDY3tol++kKRW3yn83bcemSGp8Z0yD1xbp2JdJJr91+ZZPfKo7NU6i1OXd5wPq4//PrL3Phzf8yZlTIXClUOdQkGLfjHIUxL1QanV8rcduTKucxnU1y3f4onzo1njT11vsAth2d6JmbddmSGpy4UxhKy/Y1z66QSwk2HrlxjNx+aptFSnF11H7KtFYte54V+7rGXx28xR4EJi+Eu4Dml1AtKqRrwMeCeAde/DfjvBr7XGJ696MVq33iwdybxbUdmx6Jl1hotnl8q8YpD0z1fv/XwDJeK1bE4B586X+AVh6dJJq48TG72x/v0Bfcx8B/5/CkALhUrXC5Vt1CDh2ZzzE9l+OZF9+PSa+ymg73n8rajs2MJi261FM8MUD5ecWiGYqXBy74j3yWePl/ghgP5npUHdOTgOIzSZy96JWlu6rEvZyfTHJub4MlzO6ukyKgwIRiOAme6/j7rP3cFROQa4Frgz7uezonISRH5koi8xcB4Rsazfu2hG/ts2hsP5nlpecN5DPypyxvUm6p90G6H3szPjOEAfmFpg+sXewvS6xfzJBMylgNYWynZVJJSpcHMxNaqLzcs5tsb2yX0veg3lzcdyPPy2iblmtswX+87m0PX2NPnxzOX/daY1kdaY7Bknr1UYt9kmoWpTM/XbziQ5/kl99aySZgQDL0Kg/SbrXuBTyqluonBq5VSJ4AfAn5VRK7v+SUi7/IFyMmlJbNxws9dKjGZSXJkG4+vcf1innpTOc80fmnZW1zdkQ/duG7Re941ZbNRbXCpWO07rlw6yTULk2MRWDq5qNFSbNab5LPpLa/fcDDPs5dKzqmR55c2yKQSXNWnXtN1/gHoei5fWvbW9PGF3nN5w5jGVWu0OLO62XeNJXzaaxyC4flLJW48kO9bE+mGxTwvLJVotcZbMSEKTAiGs8BVXX8fA/qlS97LNhpJKXXO//0C8BDwml5vVEp9WCl1Qil1YnFxsdcloXF6pczV85N9J1ofwK61gNO+ILp6vvdhcnA6Ry6dcL5pXxwisACuXZhqj38cKPihn/nclRbD+madyyW3yVFnVsocm5vYkifQjXGtsZdWvO+7ZqH3GpudTDM3mebUsttxnVkt02yp9n3ZjrZgGAOV9OLyRl9BCp7FUG20xkK/mYIJwfBV4EYRuVZEMniH/xXRRSJyMzAHPNz13JyIZP3H+4FvB540MKaR8PLqJsfmJvq+fr3vYH3R8QF8ZqXMdC7F7ES65+uJhHB8Ycr5uF68PFjLBLhqfpLTK2WnmnmhK9lPP85nt/LT+gB07bQ8u7o5sLrrtfunEIEXltzSXKeXy2RSiS1O+u24ZmGqbb26gv6+a/qssYR/crm2GKqNJpeKVY4OOC/0mMepGEVFZMGglGoA7wb+FHgK+IRS6gkR+UUR6Y4yehvwMbX1pLgFOCkijwKfBT6glHIqGJRSvLw2eNPOTKTIZ1PONYBhlgx4h/OLjjetzigevDkmKdeaLDssW3Cua350sth2KkmP2fVcnl0tc9WA+5VLJ1nMZ7f8Dy5weoglA3B8YbKtDLjC+XUvOfHIvt4Ca1xU0sV1L9Bjey5KN7SS+fLq7rUYjPRjUEo9ADyw7bmf3/b3e3u874vAK02MISwKmw1K1QZHB0y0iHB4Nsf5dbcT/fLa5kCtHLwF+pfPLqGUclYH/kKhwkQ6yUyu//LR9NdLy+UrkgZt4fxap6x2YdPzNWynkvQ8n3W4aUvVBqvl+tB+EIf3TbQPRFe4UKhwZLb/2gfP+rv/0XM0mi1SSTc5sRfXKyQEFvusnXEJhrNrnoA8NuC8ODiTQ8S98mESez7z+eUA2i94B/C5NbebdqlY3ZKg1QuHZrOUa02KDovWXShUODiTHSiI9P10KUy7N2KHStoqGKZzaWYn0k61uQv+Pein/Wocnsk5txguFaocmB4suA/O5GgpnFp/59crLE5n+wqijmBwNiSA9hkwyGLIpBIcnM7FgmE341LRm+iDM4M3hycY3E10rdFitVxnccimPeRrexcdapoXt2UU98KBae/1SwV3ORbdQkg7n6d7WDVH90043bRLRe9A7af9ahzel+P8esWZX0YpxVKxyuKQta/n+oLDNXahUGmv7V7QPoamY8lw0a+/tb0SwXYc2edeyJvEnhcMy350yjC648hsjuWNmrMU/CU/aW2oYPA3rUsKwtu0gzfG3GSadFK4VHQnGJa7Io06PoYrBcPidNZpUqD+rv1D5vLwbI5yrUmh4sb6WyvXqTVbHJweYpVqweCwA9759QqHBygf46KSVvzWurpsej8cnp1wer9MY88LBr1pF4YIBn1Arzgyp5f8A3WYme960yqluBSA4hIRDkznnLbT7J4bfbhu9zEALOQzW4SIbbQFw5A1pu+pq3t20beWDwy1GLzXXc7l5VKV/dO9E8iAdsa96zSG1Y0ac30S27qxkM84OytsYM8LhuWNGtlUgqkhzdjn/cXg6kDRm3CYxXDA8aYt15rUGq32/RiExemsU4thrVwnl/aWtKaSpjJXCob9ec9icEXZXC5VSSaEfX3CjrvHBe64fE3zHRhiMSzksyQT4kz5aDRbrJXrzE/1X/s6iMo1lbRSrgVa+wtTWdbK9bF3DAyLPS8YdD2dYRE9C+1N6+ag0wlYwwRDLp0kn005O0xWy973zE0OPuTA0zS1D8cFVsq19uG6WWuSSSZ61nLan89QbbTYcNRj43KxxsJUZmBIKLhXPvRcLuQHH3TJhLAwleFy0c241nyh3q/kBNDer66ppNWNGnOTwwXDvH9Px9llLgr2vGBYLtXYP2RjQGeRut60gRbhVMbZAlzz68zvCzCuxelsmxJzgdWNWluAb9abZFO9l/eCr4kuO/IzLG9UA4Xs6jW24kj5aM/lEEsGvDW2UnazxjQFM0gzT8p4qKSgFsN+/xrXGfamEAuGjWow0zCvN62biV7frJNNJYY6uQDmpjLOLIaRDpPJDOubdSfmfqulWNustzdkudYkm+4jGPJuN+3KRrDDRHPXrq2/fpn13ZibdMeZBxEM2vnsmkpa3agHUtZcMwymsecFQ9CJzmdTZJIJLjua6PVynX0B6BrwNE1Xm7ZtyQQ86Fqqw/fbRLHSoNlS7UO/Um/2LNcMHS7fVWTS+mad2QBzmU4mmMmlnM3lWrnOdDYVKGltPu/OKg0iGGQM1VWrjSalaoP5qeFz6VqRNI09LxgKlTozATQmEfEiDRxpmWubNfZNDD98wTWV5H1PEKGlN7YLCkJ/hz70y7VGfyop75YWXN+sB9LKwRu/K4shqMACz/pzNS59mA7yMWjfkUuDQVvLQZSi/VNa+YgFw65Dq6UoVRuBBAP4PKtDbS7wpvWpJBdRNh0qKYDFMOnOAddxpHobsqVo93rejo6T177FoJQaSTDMTzlUPsq1wFbp/JRHC7po16rXyyA/1jjyGNqWTACGYWYiRSohzvxYprGnBUOx0kCpYBwreIfOZYfaXBAeH7xNW220KDuIslkt15nKJPseutvHBW7MaX2YdAcS9LMYsqkk0zk3kVzlWpN6U400l6546bXNYDQqdOZy1UGT+2K1QS6dGLjGxtGoR6+xIBaDiHhzGVsMuw+6ns6gYnDd8Lh8dxEjo2hz4OYA9rTMYIeJ3kBrDg6TlY2tVBLQ18egr3PhY9AZ2MGVD3dW6Xp5NEsGOpaZTRQrdaZzg8elQ39dOp81XRkkkAA8RTJ2Pu9C6E0blEpacKgBrG0GP4AXXGrm5RpzAZxv0Ml1cOFj0MKnOya/X1QSuJtLvcaCBxJkWS3XnXT/Wh2RSgI3a6xYaTDdo5RJNxJjCFdtWwwB9+X+vDu/jGnsacFQGFGbm89nKNeabFqmbCr1JpV6K/C45lxaDJv1wE7xiXSSbCrhxMewUq6RTsoWTbMflQTayWtfm9MCaxQ/VrOl2gLFFlr+dwSdS30YOhMMQ6z4cVBJKxujCvmYStqV6FBJASNGptzEJo8qsNrJd06opOAUl+ZZXfkY5iYz7cQnGEwlLeQzTiJGwlBJYH8ui9UGLTXCIecw/LJUbfSscdWNceQxrJZrzORSpAP2pJifysbO590I3cxlZiKYj8GVOb02Iv3QGZf9RbhaDlYSQGNuMuOEl17xBUOia0UPshj2TaZZ36xbj+Ra3xweYdMNV2tsvTyawNJr0Y3FUGc6G8zH4JJKWglYQE9jIZ9ho9Z0VpHZJPa0YBhVm3NF2YwSEgpe8l06KW1T1xY0/RCkTpKGK4tBWzKJLothUFTL7ESaZktZr5c06hpzFUq7tjkaX55NJZnOukm+K1WCWAzeb5dUUqES3FkPnTl3keBpGntaMBQqdRLSuwJnL+iJts3/jpJEBt2UjWWKq1L3wntHsRimMk5CHHWi4lYqqf/y1vSh/bmsk0rI0Oq9GvqgXrM8rtXyaFYpeHO5U3wMep6bDgVDqdLo2d+jH1ydFzZgRDCIyN0i8oyIPCci7+nx+jtEZElEHvF/3tn12ttF5Fn/5+0mxhMUhU0vLG5Y1UuNtgZguZHK2ohaJuhaNm4Ok5Eshsm0M156OpfaYjFkB9SZam9ay0JLJ7cF7cftSsscVfkAP8PeMi3YailKteFRSTKG1p56jQXFzC4WDMH/yz4QkSTwIeCNwFngqyJyv1LqyW2Xflwp9e5t750HfgE4ASjga/57V6OOKwhGyUiFji/C9qZdD6HNzU6k2850WxiVFgFPy9QZszYbyesQx6A+BmfW34hrbDKTJJkQ6+PqzOUo/qK09f4aGzUv6XRYHkOnUY/ik187y40H8rz6qn1Wx1asNMgP8X10Y69bDHcBzymlXlBK1YCPAfcEfO/3AZ9WSq34wuDTwN0GxhQIhUojsOMZPJ41l044OExqJBMyktk6M5G2LrBKvqU0bNN2w0XGrFKqHcmSCEolOdq0hRHqEYGnCbsQ8msjOp/Bu2dFy9ZycUDnvW5oI79ab/Evfv9R7vnQF6yOC3TiXUwlBcVR4EzX32f957bj74nIYyLySRG5asT3IiLvEpGTInJyaWnJwLC9CQsaqqox6+AAXit75TCC0g/gjcv2pi1Vvf87zOawedBV6i2aLUU+m97SmGdQuKorymZUqxS8TPz1TbtzWdisM5EOVtpEw4XAKlW18hGMSnr2UtHqeDTaykcIH8NedT73Or22M39/BBxXSr0KeBC4b4T3ek8q9WGl1Aml1InFxcXQg+1GIdSmTVvXAII437bDxbjafZRHsWRy9jdHsUtgbfUxDKCSJt05n4PWSdJwoXyEXWMFyyG+RV/wDFtjWgF4/OVC+7law16Bv816k5YaTSnSpXZsC3kbMCEYzgJXdf19DDjXfYFSalkppcnJ3wBeG/S9NlGohLMYbB8mnpNrRIE1kaJUbVitftmhkkahuHy/jEVrpntc3XEEmQE+jXzGu9YFlz+y8uFojQ2ja7ZjZiJFS2E1xLcYkK7U8/z8pVL7uReXN6yPa5R7lkp6veT3KpX0VeBGEblWRDLAvcD93ReIyOGuP98MPOU//lPge0VkTkTmgO/1n3OC9c36SD4G8Ll8y+Z0sVIfSSuHjmauTXEb0J89ytj0Bi9avGfFLkumm0oa5OxOJMT6AayUohiw30fUfiAWAAAgAElEQVQ3nKyx6vDIn+1wYv0FVD60ZVjrUoQuFew5xoshrGVwo0jaQGTBoJRqAO/GO9CfAj6hlHpCRH5RRN7sX/aTIvKEiDwK/CTwDv+9K8C/wxMuXwV+0X/OOqqN0eoRabiY6GKABJ/tmGnzmfYEQ7Hi8dKjRBd1DhM3AqvbL5NODvbR2J5LTT+EEfL2AwmGVzDdjhkH/qKgPoZED/+bzVBaPa5RGQYXQt4GIoerAiilHgAe2Pbcz3c9/lngZ/u897eA3zIxjlGgNYBRtbnZibT12PdSKG1OUzZ2N20Y+gHsjqsf/TCspo1twVAKQT+A9jE0UEqNFIAwCkrVBgemcyO9x4WQD+pj6KYMF/xGVVYFQ4S53JMWw25FmJh88A7gYrVhtSzyqIk00G0x2D2ARxVYE+kkqYRYHVc/LTM1JHHR9qYthqDewBOmtWaLSt2evyicVWo/j6dUaSABqhF0WwzH5iYAr3+7LQQVWNvhIpDABvasYNCTFcY0VKqz6U1DKRWoVsx2uAgLDSOwRITpXMpqKG2/TTvMYrCd+xGUL98OJ3M5YnkH6LIYLI6rUGl4gQFDhHr36/smM0xnU1YthvBCPrYYdhUKbSop5Ka1NNnVRouGH5M/Ctz4GEYXWGCfZ9Vm/tSIgsEZlTTqXFqu46TLTgTtXKjhwiodRfnQsiGfS7FvKt0u82FlXJVwPoaYStplCE0lWc5mDBMWB90x0ztLywT7ztRStUE2dWWP4FRA57OtuHydEBhGywR7B3C53kSp0dfYdNuPZdf6CzouTSflMym/vLt9unIqG6wYosbsRNrv+22PFrSBPSsYwlJJti2GNl8+4mEy5cfl26eSRrtf4FllVqmkPuMKEpXUaCnKluLyo1JJtoR8WEsmnUwwmUk6sBiCjUvTSflcynrfjzARebB7s5/3rmDQ3dtCZD53v980wjq5EgmvraVdznz0/AqA6axdKqlfFm8QKgksHsBheWnLEWbtNRaGFszZn8vA98s39PLZlHUnb5iIPNi99ZL2rGBY36yTSSXIDSjN3Au2SymEDYsDTzO3ZebrWjGjar/gj8tmHkMfgZVKDHE+WxbyUUIcwV5J8GJIqxRczGXwNaaT2/LZlIMAh/BrH2LBsGtQ2GyMTCOBfQ0gbPQD2OXyy7VwyVpgX8vsV9xsGJWkN/qGpQizUrVBLp0I3CNYo5NIZmlcISkusD+XhRAH8FQ2xXTObhHJMLlF0FE+bBe4NI29Kxgqo5fDAJjKJEmIvYkOG/0AdqtfdnIFwvgYPAecrTpO/bS5YXxw3rIztVgdrX6/hubyrVNcOzHCrDp6RnYunWA6p3M/7PmLwtyvaQelamxg7wqGEMXNwIvLz2ftma2RNm0ubc3MDxstBR3N1OY96zWuoRaDrwGWLAr5MFo54FMjtp3PYdaYPSqp7if1jaqZZ1KJtl/GpsIW5n7pdWlrjdnCnhYMYbRy8LQAWxpA2LA48PhMe2G0fmnrCOa0PWdqbzN/GIVjW5sbtX5/N/LZlLVxFdpzGc7622k+mUwy0Z5LmxZzGGtZz/9uq5e0dwVDpTFyRJJGPpuypgEUKw0yqcTAJjP94EJghaUfwE7yXXf3tu0YVhLDtjYXVssEyFvkzCMpHxZ7MgQtub0dmVTCulUaNiJPvyemknYJvDr5YTdtqt0cxjRK1XoorRw6WqaNOk7RHJZ605q/Z7p7W6/DZJiPYTKdRMReSfDCCMla2zGTs2cxlCoNJjOjx+SDN/8thZXcj2LIhEBPMNgr7x4lIi+ZECYzyZhK2g1QSkWikmxbDGEPk3aUTc382MLWo4eOBmiD5hp0mAxq1ANe7kc+k7JW9ypsJAvYXWORKK6cPQ24XfE4BJWkA0lsWAxRIvLA25exxbALsFlv0mip8FRSzuJhEoV+sGi2dmLfR79n0w4Ok95RScNLVk/nLB/AIYW8TR9DMeK4wM4BHNrHYNliiBKRB949s3Ve2MKeFAxh6yRpzFg8TIoGtLmdtGnBrmAYFGEzzMcA3v9jY1ztKrkR5tKmVRrWkrEq5Nu9u3eWjyFKRJ73Prs5FjawJwWDdoJGopIsWgxRNBOwJBiqdSYzyS2tM4NCVz21cdANKjsRpMmNrdDjdpXcsLRgNkWpZstfFN73ofMyrMxlSLoyk0yQz6QQsZOTEiUiT7+vFEcl7Xx06iSF3xy2ErbCOrnAPmUTVvtNJxPk0gnLVFJYWjBtxcxvjyu0Zu71/bDhL/J8H2FDtfUaM3/QFQbQgoOQSSU6/iKLVNJOpAVtYU8KBl2DJiyVpBfIRtV8ZEa02Hd72lwUXhq8sdk4gIP2CO4Hz8ewAw8Ty/TbjvQxVBukk0I2NdqxpIMMbNVLihKRp9+3J6OSRORuEXlGRJ4Tkff0eP2nRORJEXlMRD4jItd0vdYUkUf8n/tNjGcY1nwfw76JTKj3ay3QRshqlE1rU5uLQnGBvc0RthqtxrQlbS5saWuNvEX6LYr1Z9cq9cphjNrnWvfh8Ool2Yh8Cx+RB36wyi4TDOFVQB8ikgQ+BLwROAt8VUTuV0o92XXZ14ETSqmyiPwE8B+AH/Rf21RK3RF1HKNAd3rSlVJHha3NUW00qTVbO9P5HCH0EuyZ01Gc4mDPx9BxpEacS8P3THdvCzsuq/6ikAKrIxjslOvo0IIhz4suf9GwlqU7BSYshruA55RSLyilasDHgHu6L1BKfVYpVfb//BJwzMD3hkZhs45IeP7XVsZs2MYuGrqBui1tLqzAAntx+WErmGrkcynKtSZNw07eKPWIwF4dp3b3th3qLwqz9rdQSZasZQiXKQ7eGlPKu/e7BSYEw1HgTNffZ/3n+uHHgT/u+jsnIidF5Esi8pZ+bxKRd/nXnVxaWoo04DW/gF5Y6W2LZ416mCQTwpSlLMsoFBfYy/0IW8FUw1a9pKi+D1vWX4cvD3/P8tm0neifkP61VLKbSrIXkRcmUxy61tguopNMCIZep2tP9UtE/j5wAvi/up6+Wil1Avgh4FdF5Ppe71VKfVgpdUIpdWJxcTHSgNfK4SqrakxbMvPDdvzqhi0+sxghWgo0l2+B/41QwRS6NPMdNpcdgWX2nrX7UEe5Z5ZyP4oR/Vi2WshGCQiBbkVy94SsmhAMZ4Gruv4+BpzbfpGIvAH4OeDNSqmqfl4pdc7//QLwEPAaA2MaiPXNOvsiCAZb0T9RQy/BDpffaqnoPgZLzud+3duCoqOZm920kZOiLFml7ZDQyLSgjUiuejQh7zufTRf4KxiwlsG8ImkTJgTDV4EbReRaEckA9wJbootE5DXAr+MJhUtdz8+JSNZ/vB/4dqDbaW0Fa5v10OUwoDuU0LQ2F41+ADtx+W1eOlK4qiewTG/aqNrctEV/USYZrkou2CtvEtVZD/YCCSJbf7kU9aai2jCbX1SKkCkO9vt+2EDkqCSlVENE3g38KZAEfksp9YSI/CJwUil1Px51lAd+3w9FO62UejNwC/DrItLCE1If2BbNZAXr5RpXz0+Gfv9URlflNE0/RAu9BDtZlkZ46a5NO2qf7UEoVhpXzOX/8fobAs9NWzM3TiWFzy4Ge1U5zSgfKc6slIdfOAKilhCBzvosVhpG11jYXgwaNnNSbCGyYABQSj0APLDtuZ/vevyGPu/7IvBKE2MYBVGpJFtd3Expc5eKFVNDAswJLO+zzG7aXtVo//n33hx8XBadvFHuF9jRzKMGOICd3I9K3SshEilXpmuNLU5nTQ2NUqXBYj7859ks8GcLey7zudVSfi+G8AsQ7GyOqIk0YIfLL5gQWJYom+j5FXb8RVEpLtDhl3bWWNiYfLDjfC4acIrbcvIWI9SWArvZ4raw5wRDqdagpWBfyOQ2DRsHcLESriRAN2wcJiUjDkvzYaGDurcFha1s8Sh9NTRsVOXUh2bYmHzorH2T/qKwvRi6YS2/yFBU0m6ikvacYNB1kqI4n8GemZ/PpkYuCdCNaQtO3qj16MGO1jSoe1tQTPr+op1myYA9f9FEOnxMPnhCvtEy6+Q1QnFZiP7RykcUgbUbu7gZ8THsJqyVdZ2kiFRSLt0urWEKUbVf6GRZbtSakamM9rgMUEk2yoiEbQXZDe0vMp2wZWQurfiLokX+QGcdFCp1Y/6iMKHan/vp796SsT5tgRYs16JH5MHuq7C69ywGXUBvMlwBPQ0bmbxeA5Woloz5zVGIWKiu+70mKZuoJUQ0bPiLjDifbdCVBgSWjfDLMMUQr5qf5Pj+qfbfNnJSOi1toyqSu6uQ3p4TDGubfgE9E85nC+GqJiwG/VmmYCojG8weJiboB/C01J14ANtoCRk1Jh/scOZtp7gBJ6/JcZnIFPfeb6fsvC3sPcGgqaSozmcbWqYhXhrMcvmlSoOpkN3bNGzkC5jwfYD59p7VRpNaoxW6Q6DGTM68vyhqhA3YEfImrL9MKkE2lTC6xoxapXG46s5F1H7PGjaqckYtVAd2kmlMRNhkUwnSSbFymJjIFzBJP+gGTiaoJO0vMgUTYbRWhLwx68+sJd9WPnZgTopN7DnBcKlQYTqXiuw0s1Ex0eSm3Wnj0k5eswIrWs8DDdP+oqjNgzRs+IuiNlwCO2VEipV65GgpMN9fI2rNK43Yx7DDcX69wuHZXOTPsdHFzUjsuwVtrhixJICGaWeqCd8H+JTNDjxMbPiLosbkgy0uP3q0FJinBU1ZMraKSNrCnhMMFwoVDs1ORP4c05RNrdGi2mhFNllnbFgylWhVLzVM9302EUYL5s18U/SDaX+Rjsk3Fa660+hK8EJWjQp5Q36s7i5uuwF7TzCsVzg8E91iME3ZmNJ+dUaraXPaRE6E6UiuqN3bNPLZNOVak0bTTMKWMYFl+ADeqEXr3qaRTSXJJBNm15hBq3RH0oK7rIvbnhIM9WaLpVKVQwaoJNM11k1UMAWvm9VEOmk8XNWEYDBt5kft3qah51I7jaPClJA3zeWbElig6yWZpFHrkS0s8JQPk4EEpUqDyYgRedDxF+2WQnp7SjBcKlZRCiOCwbSZb6KImIYNntWINmfc+WyGl+6UUjCzadvFEHeYv0gf5MY0c+NOcVMCa2cFXoC9vh+2sKcEw4X1TcCQYDDM5ZsoVKcxbTAyo9VSlGpm+F/zh0m07m0aptt7duYyKi/d6S9gAkWDayxvmBY0RVeaLvAXtaWtxm7r4ranBMP5da/ujImoJNMRIyVDWqb+DHO8dAOlzAks0xSX0U1rzF9UJ5kQculo20v7i4z7sYwEEpjl8qM2w9HQBf4qdTP+Is8pHn1cu62L254SDBe0YJiJHpU0mTZbldMUL60/w/S4zEQlpajUW9QNOXmNOcUtWH9Rq+SCeX+RqYRAMJtI1mxFL5+ukTdMC5YM+T52Wxe3PSUYzq9XmEgnmZmIPtGJhJDPmNOaTMW+g1ku36TDsuPkNXfPTN0vMGfmm8gV0DDJmZuKydefYdIqhWi9GDRmDHP5xgIvLDURsgUjgkFE7haRZ0TkORF5T4/XsyLycf/1L4vI8a7XftZ//hkR+T4T4+mHC35yW1RNTsMkZ140xEuD2XEVDB8mYJKyiV5bCuxE/5iwsMDwGqvqA9hQsqJppcjgGjMpTM04xc36i2wj8n8sIkngQ8AbgbPAV0XkfqXUk12X/TiwqpS6QUTuBX4Z+EERuRW4F7gNOAI8KCI3KaWsBPteszDJ/FS0ctvdMGlOm+KlwWzInkkqyWRPhk6ylploKTCnzZmiuMBsSXC9VqN0b9PIG0wkMxWqDeaVD9NW6W6hkkys3ruA55RSLwCIyMeAe4BuwXAP8F7/8SeBXxNPbb8H+JhSqgqcEpHn/M972MC4rsBP3/0Ko59nmrKZzkXnpcEvI+1X5Yz6eWY3rbn2nrp7m4lNO5lJkhCDWma1wf68GQXEpMVQqpqpRwSekK81W1QbTbKpaIKmnUS2wwIJdESeCat0t3VxM0ElHQXOdP191n+u5zVKqQawDiwEfO+Ohcka6yZ56XwuRUvBpoEsy5KBLmkaJss1m8pIhU6BP5MUl4lIFjAbSGBK+wWzmf8mejFotEvCGNiX5bqZ7m0apgv82YQJwdBLJd0eRNzvmiDv9T5A5F0iclJETi4tLY04RDswWWPdRMcvDaOb1rBTHMw4eU0eJt7npI1y5ubm0uC4DIX3glnKxnR+BWBkX5q0lr3PSRktumkTJgTDWeCqrr+PAef6XSMiKWAWWAn4XgCUUh9WSp1QSp1YXFw0MOzoMK1lmjvkDB7AmpfO7Cwnr8kIG/055vwyZooOgi7XbE75MHH4gtnwS5MH8JRRgWXOKgWPYSgZKrtiGyYEw1eBG0XkWhHJ4DmT7992zf3A2/3H3w/8ufJSE+8H7vWjlq4FbgS+YmBMTmA0lNAklWTQYihVo3dv0zDZ99lU9zYNU1E29WaLSr1lPFzVRCavqVwB6FI+TB7ABsamu7iZmEtTpU00dlMXt8iCwfcZvBv4U+Ap4BNKqSdE5BdF5M3+ZR8BFnzn8k8B7/Hf+wTwCTxH9Z8A/8RWRJINmOziVjKUYQlmIyBMdJXTmMyYSwo0GeII5iLMdI6GSSFvyl9UNFRCBDph1UbWWLWBCExlokdLgacsmLCW9XowkV8Bu6uLm5H/WCn1APDAtud+vutxBXhrn/e+H3i/iXG4RvcBHLVVaMEkL93W5sxo5qa08raT1wjFZaZ7m0Y+m+L0Sjny55j0yXR/TrHSYDIinWeqGCKYLQmjfTKm8otMCflONQJz92wvOZ/3LKaNHsAGeWmDxddMRkuBuZ4MJkuIgPnDxBSXbzIxymjkm+EABxNJdxqm/EUmKS4w34/aJmLBEAGm4vI1L70THYNFQ93bNExx+SZLdYC5QAKTherAXOVXU93bNPTnFAz5GEwqH6YoG+N05S7q4hYLhggwFWWzYfgwMep8NkhxgblNa6p7m0Y+m2azHr2Lm/FoKUNWqanubRrZVIJUQozNpUnlY9oQZWPaKt1NXdxiwRABpmqsm9ZMTEZmmIyWAj8p0MCm9XwyBukHQ13cTOdXmBLypmPyRcQYNWIy8Q7McfmlirmIPOhiGHYBnRQLhggwVWPdZD0ijWm/9+3Dzy/z2acvhf4ck1FJYK72jw0tE6KXa+7EvptLioLoykfJYIdAjbyhHAuTAQ5gbo3ZEFje5+78kFVz//UehKm6LKajH7zP8rS5t/3GlwB48QN/a+TPaNeKMewYNENxmfV9mOLyTfs+pg1pmSazizVMZWWb9jGYqhVm2lo2mXhqG7HFEAHtBi+GtEwTVS81TDh5TXZv0zDmfDZOcZkT8iZj8vWaiDqutmDYgVy+F5Vkdi6bBrq4FS1YMhBTSX/tYaqLW9Ew/wtmNHPTETbQcT5HjcwwWY8IzHH5pmPyU8mEV5UzovJhYy5N9BavNVpUG+YyxcFcGXXTVulu6uIWC4YIMNXFTW8uo1pTNnr2p+kIG+horLprV1iY5n/NcflmBRaYieSyNZeRx2XJvwZmgkJ2ovLhArFgiAgTERBWtLlcKjrFZcliAANcvqHubRqmIkZM532Ad/+j5gu0o6UMR3JFncdOEplBysZQGLl5H4P3PxZ2gfM5FgwRYSJkr1jxurdNpA36GExQSTYclgY2rcnubRqd7nLRKRuT4wIz2eKms3jBt0or9UgF/mz4PkwlnposIQK7q4tbLBgiwpSZb5KXhiu1uTCb13QFUzDTk8Fk9zYNXeDPhJPXNJVkoldEqdJg0mBMPniHeb2pqDbCO3ntREtF9zHoiDyTa2w3dXGLBUNEmOjiZrKBiobetBqNEM5eG1qmCTPfdJ18MNfFzVTz+G6YCiQwL7Cia8A2lA8TJcFtROTB7qmwGguGiJg2ULDLipa57fPCaHWmM7K9z4pu5pvOLtYwkRhVsCEYDCSSFQ32YtAwcQBbVT4MCCzT9yyfM1Nd2DZiwRARJnwMJcPVJeHKBV0NUZ/FdK0YMJP9WbLAS4NPv0XWzOvGfQwmSpUXDfPlYMZhbyMqacpA9I+tNTZtqCSMbcSCISJMmIbFat28ZrIt+iSMxWCLl4ZoWqaNTHHv86LNpenubRozAbq4/dkTF7j/0Z5dcQE/Jt8CLQLRhLwNqzSdTJBLJyIJ06IFpQh2Txe3WDBEhIkubrZ46W6EEgwWeGndO9oI/WDByRvlMLFpySjlVUjth9/50kt85HMv9B+bRR9DlHtWqNTJJBPkDEbkgY6YirLGLM1l7GPYGzARgmYnkmW7YBidSipaEFjJRHQnr7VNG5HLt5HBDsEom5ZSW4INtsN0MUQwE0hgY1zQsbLCopMQaJ7ijaOS9gBm2h22IhwoFmLfr7AYQtSN8RyWZscFusZOBB+DTedzhE1bsGbJDM+xaLU8KqsfbAh5U1SS6XFBdCGv77WNaMG/9s5nEZkXkU+LyLP+77ke19whIg+LyBMi8piI/GDXax8VkVMi8oj/c0eU8YwDUeufVBtNao2WFe23G5UwzmcLvDREN6f14T21w0IJ9XtNljaBYAX+PIuht2BoV8k1fb8MRf+YFqQQPcTXdO9uDR35ttO7uEW1GN4DfEYpdSPwGf/v7SgDP6qUug24G/hVEdnX9fq/VErd4f88EnE8zhG1/ok1XnqH+hggelVO093bNKL6i2weJt2f3wtK0ZdKKtf97m2Gx5VNJcmkIjp5LZQQgeh1nPS91j4xU9gtXdyi7qx7gPv8x/cBb9l+gVLqm0qpZ/3H54BLwGLE790xiNrFzUZUBnitF9PJTjRR2KgkG/yvF7IX3sw33b1NI6q/qEM/2Ak9HjSullLU+lgMpru3dWMmopAvWpvLaM7nUtVs9zaN3dLFLapgOKiUOg/g/z4w6GIRuQvIAM93Pf1+n2L6oIhkB7z3XSJyUkROLi0tRRy2OcwEMPMHwUauAOjWi50Nt1OczxC98KDp7m0aUf1FtoR8u+/HECqp1kf424ri0p8ZlbIxTb1BdD+WZ8lYEFiGanLZxlDBICIPisg3evzcM8oXichh4HeAf6CU0iv4Z4FXAHcC88DP9Hu/UurDSqkTSqkTi4s7x+CIqgFoh6WVRdh1EIzqfLbFS4OvZUYJcdysWzlMonLmNkMcYXBVzpbq73y2USW3Pbao0T8WMrKh4y8KW+CvsNlgZsKOwILoNblsY+h/rpR6Q7/XROSiiBxWSp33D/6ezYVFZAb4X8C/Vkp9qeuzz/sPqyLy28C/GGn0OwBRNQBbPgbYJhhGpJJs8dIQnUqyps1F9BcVKw3SSSGbMuz7CEBxqQHOZxtVcjWms+HnslMl184B3FKwWW8yGcJPULSQwQ7B/EU7AVFX8P3A2/3Hbwc+tf0CEckAfwD8V6XU72977bD/W/D8E9+IOB7niNrFzZaWCVsP9VGpJFtx3OBtjkq9NTC8chBsUlwQ3l+ky2GYrJILXu7H1JCqnC3f+dxLQ7ZRqE4jCi2oHf1WKZuwlvym3TW205PcogqGDwBvFJFngTf6fyMiJ0TkN/1rfgD4TuAdPcJSf09EHgceB/YD74s4HudI6ISt0IeJHV4atmqIo1oM2gKyRT9AeK2pUKkbry0F0Xvy2hJYMJyyUXgCoVdkko1CdRpRIsw0NWZjLjv0W9i5tLPGdksXt0grRSm1DHxPj+dPAu/0H/8u8Lt93v/6KN+/UxCl963NTbvFYhjRx1CwST90OVPnpzIjv9+6xRAh9NiGgAeGZou3/OmtN1tktlFZtpziEK0ibbulrUUuP8rYrFBcvgW+05Pc4sxnA4iS5l6sNsikEmRTZmvFwHYfQzgqyRb/C+FaHNabLcq1ph3+VwuskP4iuxbD4DpOLaUthisVAJtWqbZkwjh5C5v2Ai+CRHL1g1KKgu2opB1uMcSCwQCiZMyWLIXrwXYfw6hUkr1IligOuJJFLTOyv6hqJyYf/No/AwSpPpd75TKUKnZi8sE7gJstxWaIhK22xWAx8CKMkK82WtSbysoa013covbXsI1YMBhAlKqcNgroaUwbsBjsZD6Hb9Zjq1Ad+P6iTHh/kcdLj4lKUoN8DHZCQvW4IJwwdRGqHcbHYHNcsDsqrMaCwQCiFOyy0TxeY0uC24g+hnaXNBtRSRGa9XQclhadvBGczzYP4GGZzwD1HpahrdImEK30dsGFjyGMYNi0Z8nA7ujiFgsGA4hSlbNYqVt1WGqMSiXpQ3sqa8H3EcHJ60KbCzMumzH54P2/g9aYppJ6+RhsVO/tjCvCXG7aj0oKZ5XaGxcMn8udgFgwGEAU09Cmw/LmQ9PMT2XYn8+GopIm0klShgvVQUSLYdOeUxzCZ/Ju1u3F5IM/rlr/qpzaYujtY7BTqA6iZf4XKw0yyYTxhECAVDLBRDocl28ztwjM9Ba3jVgwGMB0Lh26KqdN+uH2o7P81b95I0f35aiMSCXZ1H6jVOXUG312wp42F2ZcNn0y4B0mXhe33mNrtS2GPj4G21RSSFpwOpcynhCoEVbIu7FKY+fzX3tECUErVRvWTFaNbCo5ssVQtFTDRiNs7ocTbS7UIWffkoH+1MiwcFXbdGU4Id9gxpKAh/DJdzbzK2B3dHGLBYMBtMMvRwyN07y0rU2rkU0nQvgY7BTQ0wi7aW11SdMISwva6iqnMcyZ2vYx9HI+V+z7GMI5ee1RXBCesim6sBhiKumvP8LWP9G8tE3NHLzeDKNGJa1v1i1rc+GKrxX9mHwbvg8Ir825OEygv2au+vgYdJXcvIUggi3jCnnPbFrLYes4FTYbJASmMnbume5HHbbyqwvEgsEAwmpNNksVdCMUlWRdMIQ7gD0t0+Jhkk2xEcJfZN3HMCT6p5+PoVRroBTW5lI7ecMkkhUsBl5A+F4RunqvTd+HUl4RwVGwWWuyVKyG7jA4CmLBYABheVYdrmfLkaqRTY1OJdkqVKcRNizUZhQXRBfyNsNVof+4+vkY1st+6KVtIR/Gybtpd41N59Khk9aDeJkAACAASURBVCjtCizdEGq0sX3m6Yvc+f4HeX6pZGNYWxALBgMIG8vdTtayLRhG9DEopaw1KtEITSVV7Voy+rNHrePUjmSxVBJjWImHVp88BpsVTNtjy6VCZRh7zme7FkP4aCm7ghRGj+Rad6RIQiwYjCBsS0hXE51NJamOUMum2mhRa7asjiu089lSnXwNPZd6boKiUGkgYj8qqd89a/sYtikA7Sxem0I+BGVTb7bYrNsphqgxHZLLL1isXwad/T6q8rFuMSFwO2LBYABayxz5MLGceq8xqsVgMyNVY3pIwlY/2HZYht20hc0609kUCQuF6gDymRQinbnZjn61klwoH2EoG5sF9DTyWa+L26hcftFiFBd0WaWbo1LPXkJgLm3/2I4FgwFkUwkyycTIE+3UYmi0AmtOLiiu6dzghK1+sO2w1Jp1mLm0eb8SCWE625+yGSuVFIKysVlyWyNssUZbPcU19GePqkjqNWbLKd6NWDAYgIgwM5EKpWWCAx+DX3KgV7mEXlh3YMlM50Z3wCmlrPV71tAHaBgz37aAn51MB7AYtlNJboT8qLRgJ4nMru+j+7uColjZoX6szbpVSrAbsWAwhJmJdCgNYDKTJG0pJl9DC4agdJILiyFMkTObdfI1Omb+6JvWtmCYyfVfY/36MRQ2657vw2JI9MxEf4HVD52yE3Z9HzCa76/VslsMEbqUjxD3zIXjGWLBYAwzuXCbw4UjKZv2EnWCJrm58DGEOYCd0A9Zn8sfUct0YTHM5NJ9tcxO2e2tdGHBz2C35fsAjwrdqDV7luPoB9sVTCFc4ulGrUFL2RVYmZSX+7ET15hGJMEgIvMi8mkRedb/PdfnuqaIPOL/3N/1/LUi8mX//R8XkdEbAO8QzEykd+xEdyyGYE64Dv1gPzJjFCur4MBhmUgI+WxqZCHvhEoaYJX2K7tdsOz70OPS3xUUtqvkdn/2KP6ijlPcspCfCLfGXCiSEN1ieA/wGaXUjcBn/L97YVMpdYf/8+au538Z+KD//lXgxyOOZ2yYnUhTDBGV5IIzHJ1Ksr85wgkGN+F6gzTzfrDtfAZ9mIyY4ObCkpkY3Znqgq7cN+HpmaOMy2aHwG4MogX7wQVdqRFVMNwD3Oc/vg94S9A3iudafz3wyTDv32mYyaXCRRm4oJJSHpVUCZjLUNisk00lyKXt1IqBcILBdnaxhseZB9cyK/Um1YbdvA8IZjFsF/4u6Moo1p/NcjBRlA8na2wE5UMpRaHS2DWC4aBS6jyA//tAn+tyInJSRL4kIvrwXwDWlFJ6B54Fjvb7IhF5l/8ZJ5eWliIO2zz0RI+STOPKmZRNj+58tq79hgjZc+FjAG9so2xaVxnsM7k0m/XmFUlsMF6LoZP7MQpl4+V9JC36PnJpL4x8NOXD1Vz2t/56oVRt0GzZDbzoxtBvEZEHgUM9Xvq5Eb7naqXUORG5DvhzEXkcKPS4ru+pqpT6MPBhgBMnTuy4soQzuTT1pqJSbzERsCqjC/oBuqikwM5nu5mf4BVfy2dTrJVHtxhsb46ZiTRnVsqBr3dV80qvlWKlzkI+u+W1/uGq9unKUJr5pt1eDOCFkc9OplnfrAV+j0ur9IXLG4Gv10LXlcUw9L9XSr2h32siclFEDiulzovIYeBSn8845/9+QUQeAl4D/A9gn4ikfKvhGHAuxP+wI9CdMRtEMOiwODeCwY9KCup8dmAxgHfPRnHA2S5trTGTS48U++4qUbH7AL5SMHi/t2c+u6CSwmT+Fy22G+3GIPqtF7Si4mIuR1n7647GpRGVSrofeLv/+O3Ap7ZfICJzIpL1H+8Hvh14Unmcy2eB7x/0/t2CUR1wxYpfDtnB5hjZ+ezI9zHypt2sk0qItTr5GqNGjHRq2NjWMv0om21Cq5u+7M5jqDdblGtNJ2G0MGJUkqNQ7VHX2GrZsy72OQk9Dl7HyWWdJIguGD4AvFFEngXe6P+NiJwQkd/0r7kFOCkij+IJgg8opZ70X/sZ4KdE5Dk8n8NHIo5nbBh1c2he2oUGkBvZx+DGkhl5027UmJvKWC8JMOP3fQ5a934cFkM3uofZ3cHNVWZ9Lp0kmxqNy7ddDFFj30R6JLpydaPGTC5lrRGUxsxEimZLsRGwjpMrP5ZGpJlRSi0D39Pj+ZPAO/3HXwRe2ef9LwB3RRnDTsGoae7rjjYtdFFJAaOSPIelGzN/lNryKxs15iftp7roOSlVGsxODp8fV2Z+P+Wj1aV1dvsYCo58MjA6NbJWrnHrkRmLI/IwO5HmmYvFwNevluvMTzlYY11zGSQyy2XJbYgzn41hVAecK4cljEYlNVuK1bKbAziMmb8vwEEdFZoSCirkCw7q/nR//vZxbRUMnccu6YdR5lIpxfJGzc0BHGqNuVM+Aq8xh4okxILBGGZGzLJ0uWnbJTECCIb1zTpK4WTTehEjo2xaR9rciELeVc2rfspHN03d7WNo8+U7TMhv+nkfLuZy36QXSBCUFlwt15hzonyMVnrbRc2rbsSCwRCmR/QxrPib1sXmGKUkxspGFYA5F4JhIk210QqceKd9DLYxqvXnsrRJr/Lu3YKhm0paKXlrbGGHaeYrG/7adySwIPi+XN2o78g1tuYHhNisedWNWDAYgi6MFXhz+Jt2bmpn5TGsbHjjd2IxjLA5Wg4pLv2/a417GNbKNSeCwSvvfuUB3M/HsOwL+fn8zrIYVv01thMPYM9icDeutYBrbHmj5kTAa8SCwSD2TaZZC7gAlzdqTOdSbcewTYgImVSwLm7aYthpgqFQqdNSbg4TfTCsbgTftPu35RXYQq9Q2i2Coau66vJGjUwy4YR+GEUwtAWWA6VI+6SC7MtKvUm51nSy9rVCGFT5WCm58cloxILBIOanMm0zeRhcawDZVCIglbQzLYZVP/LHBf+rD5PloHNZqrHgQCsHT2htP0xaA6ikeQfhveBRSaVqsFatq20a1b4wHWWN6bBWFwEO+WyKTDLR3m/DsLxRdbbGIBYMRjE/lQl8mKxsVJ1qALq95zC0fQwOzen1AHHmWuC6sBjSyQQzuVRgi2HFUYQN9FY++iW4uRzXjN+qNUjGeFv5cLnGAggGl74PEWFuKt3eb8PgzaUbqxRiwWAUC1OZwBO9XHI70ROZBOUADUtWNupMZZJWK6tqjGQxONy0AAv5LCsBBFal3qRUbTijkhZ6KB/9LIblDbeWDHSCKgZhdaNGMiGOSmIEL7295jCKC7x7FsRiaLUUK7GPYfdibirTdqwNg+uJzmfTgTpZrWxUnTgrYTT+12UUF3iUVRCLQWuZruZyfirD6kZti5XQL4/BpcWgBVAQxWh5w3Pwuoiw6VilAebS8RpbyAdTJNc2Pf9aTCXtUixMZShVG0O5fKU8DcDVAQxetcggZZFXynVnWvlMLk0qIcE2R9kdlQTBacHlktvDZH4qQ6OltoSsasGQTSW2lMRwKRi0xXS5FMxicOF4Bi9acCqTbPuoBsGlH8v7nkygcbkMCNGIBYNBaGpomAO6sNmg0VJOLYaZXIpSIP7Xne8jkRDmpzJcLgbRzOukk/YL6GnMTWYCWQw6wmZ7tVNb0Frjcpcw1QZDNpVo+xg0xeVqjbXHFUAwrDgKCdVYyGdZLg1XPvR8u6KSFqYygcZ1uZ2PEvsYdiX0gTpsc3QOE5dUUopiNQiX7ybBR2Mhn91yyPXDqk8/uIiwAd/JW64NrX657DCJDHorH9piyKSS1JqttkUK7gSWXvtBrL8Vh74PgP35TDBLplzzooVSbo7FuakMhUrjih4a29GZy9hi2JUImhjVjn5wqAFMB+wxsLxRdWrJBN20rrXM+akMtUZraPVL10Jez83yFsHg/c5nkyjllT7prDE348qmkkznUoGpJNcWw+UAmvmy41yBhYDnxbJjPxbEgsEoOlrTzpvoaZ9KGqQBb9aaVOotpxbD/oCbdqlYZXHanSDV92AYnaSTyGz2Lu5GrzWm57TT4a0xljXWK2JqO9oZ7M7X2HCBdalY4cBY1thgS17TTS73ZSwYDGIhIJXkWpsDz2JotLzWo/3Qzkh1qM3tz2cC8dJLxarTTavvwVAh7ye3uaS4YLtg8H7r8M+NamMsDssgXP5KueZF2Dgc16If/TOskN6lYpUDMw7XWNv6G3LPNrySK7aLNHYjFgwGMTuRJpmQoYfJOARD3j80igPK/F4qegv04EzOyZjAO0w2603Ktf40l1LKsxgcblqtnQ2Ly3fNl+fSSaYyyS3CVPsYdMXOUrXR5ftwd888Z+rg+3WpMJ411lLDKZulYpVFRz4Z6KKeh1kMjkPbIRYMRpFICHOT6aGHyeVSlXw25SSJTEOXBS8OyGW4VKgAONWa9IIfFJm0Vq5Ta7Y4MO3wMNGCYVggQanq1FcEXlG8bidva5vFUKo2uFSskkklnDTp0QgSSHCxqNeYu7nUobSDhFal3qRYaTgdV1CHvbfGYsGwqzE3mRl6mFwsVJwevtA5NAY5oC+OQZvb79NDlwdsDm3JjIP/HWb9XS7V2O94085PZbc5n7dZDJUGF9YrHJrJOaO4wKMFVzZqA+slLRXcz6W26Ab5srQl49SP1aYrB1sMrv1rEFEwiMi8iHxaRJ71f8/1uOa7ReSRrp+KiLzFf+2jInKq67U7ooxnJyBIIT29aV1ClwYYZE5fLFRIJcStj2FquDZ3SWuZDjfHTM4LW1wacJi0WspzWDqey4Vta0w7n3VPkI1agwsF92tsYSpDSw3OZL84Bqu0k3zXfy6XSu7XWDqZYHYiPTT44sJ6xamyBtEthvcAn1FK3Qh8xv97C5RSn1VK3aGUugN4PVAG/qzrkn+pX1dKPRJxPGPH4nR24GECnmbuetPOB4iyuVjwHLyumoHAaNqcywNYRDg0k+P8eqXvNSvlGvWm4vCs+wN4q4/B+61po2KlwaVChYOux9WmbPrP5cVihbnJtJNy8xrab7BU3FkWA8DBmWxbWPZCsVJno9Z0vsaiCoZ7gPv8x/cBbxly/fcDf6yUKkf83h2Lw7M5zq1t9g0LbbUUF8ewaYOE0o5F+21nzO4sKgng0GyOiwMEwwX/tUOO5/LgTI6lUpWGnxjV2mYxlKqexXDQ8f1q+4sGWX+FqlNfEXgCM52UgaG0nTXmdmyHZie4MEAwaKHheo1FFQwHlVLnAfzfB4Zcfy/w37c9934ReUxEPigibleyBRyanaDaaLVru2/H8kaNRks5txhmcimSCRlKJR107PsIkhi1VKwylUky5ShXQOPQTG7gptXWhGtt7vC+HM2WalumLT8COZ9NIgIvr25SqbecHybaXzTIYr7oOCQUPOtvYSrL5QEWw1KxStIv0eISh4dYpfq1HUcliciDIvKNHj/3jPJFInIYeCXwp11P/yzwCuBOYB74mQHvf5eInBSRk0tLS6N8tVMc8Tdjv8nWGoDriRYRv8zvYCrJ9bjAp98GmfljsGTAO/AvFCp9rb8L65uAe23uyOwEAOfWvLWkLQYRIZ9J8Y1z6wBcszDldFxaQJ5b2+x7zaVCxblWDp5lOpCuLFZYmMqQdEijgrd2Lpeq1Pr0SrkwJuVjqGBQSr1BKXV7j59PARf9A18f/JcGfNQPAH+glGqr0kqp88pDFfht4K4B4/iwUuqEUurE4uJi0P/POQ61BUPvzTEu+gG8Vor9BEOl3mR9s+6crgHvoHt50GEyhqgM8IR3rdHqWwHz/LrnrN/vOFz18L7eaywhwuxkmq+fXgPg2v2TTsc1nUszk0v1FQytlpeP4toqBW39DaYrXVsy4B34SnUCLLZjXIpkVCrpfuDt/uO3A58acO3b2EYjdQkVwfNPfCPieMaOw742189i0NSEayoJdMXQ3ofcOBy8GsfmBgsG11nPGlp4Xxgwlwdnck6d9QCHZ/w1ts1iSAhcv5hvP75q3q1gADiyb4KXV3vP5UrZo1HHMZfH5iY4u9rftTkO3wd01lg/B/T5dc9Z7zLnCaILhg8AbxSRZ4E3+n8jIidE5Df1RSJyHLgK+Itt7/89EXkceBzYD7wv4njGjsXpLMmE9D9M1iskxIv5do2FfKZvvoBOPBoHlXR03wRLxSqV+pUF65RSYwnvhS7BUOhv/Y3D8puZSDGZSbaVDx2VlBDhxgOeYDg8O+E08kdjkJAfl/YLcGxukmKl0beT27n1Ted0DXQzDP0thnHcr0jePKXUMvA9PZ4/Cbyz6+8XgaM9rnt9lO/fiUgmhIPTWc71o5IKFRans6Qc1j3RODiT46FnllBKXZH4dKHt5HKvzR2d05z5Jtf5Gq/GykaNzXqzfY1LaGF0Yb23ML2wXuGWIzMuhwR4voTDs7k2ldTxMXgaO8Brrt7nfFzgff9XTq30fK29xsZwAB/z18/Z1TKzE7NbXtuoNlgr18eyxrT1N8gqHYfyEWc+W8Ch2Vzfib44hsQjjcOzOcq1Zs+yGGd98//oPveb49jc5JYxdEM/p69xicXpLCL0jExSSnF+TJYMeAfwOX+NqTaVJPztVx3mb7/qMO99821jG1eh0uhZk+vMikflXDWGuRy0xrSFM441NjORYiKd7E89r1fHYsnEgsECDu+b6CsYXl7dbGt1rnFodis33Y0zq2XmJtPtWHiX0JpaLwqiIxjc37N0MsFiPtuOPupGYbPBZr05ViF/fk1bDN5zCREOzOT4tR/6lna2r2toxeJczzW2yUQ6ORYatWMx9BAMY1SKtPXXS/mo1JtcLlU5NON+XLFgsIDDMznOrV+Z5NZsKc6slrl6wb1mAt2htFdujjMrZa4eg7MS4KDvl+nlHNTPjcPMB0/I9xJYp7X2Oz8+Ib/khznq2kSOfeA9cWRfhxbcjjMrZY7NTTit36SxbzLNVCY5cI2NQ/kAj2Hodb/0uK4Zw3kRCwYLODo3QaXeuiJp6/z6JvWm4rjj+HKNQY6uMytljo1JMKSSCQ7P5npGs7y0UmZ2It0uEOcaxxcmefHylYfJi8sb3uv7xzOXR/d5YY4X1itti2EcB+52aK37bC/BsLo5lkgp8O7NsbnJnhbDi8tlJtJJpyW3u3H1/CSnl3usscuxYPhrhWv9w+LU5Y0tz7/kT/41Y9och2ZypBLS5no16s0WL69tjs1iAO9A6bVpTy1tcN3ieA5fgOMLU5xb37wiYuolXzBcMz+esWnl4tTyRpePYSxD2YLF6Szp5JXWn1KKl5Y3xrrGvJDVHmvs8gbH9085DzvWOL5/iuWNGoVtfhmtfLhOVIRYMFjBdfu9yJpTl0tbnm9P9Ji0zFQywdULk1cIrNMrZepNxQ3bIoJc4qr5yTY9041Tlzfa93McOL5/EqW4Qpieulzm0EyOiYz7kFCgHb31wlJpR1kMyYRw9fwkp5a2rrELhQrlWpMbDoxvLo/NTXB2pXwFxXvq8obzZMBuaEXyxR6K5HQ2xdyke2s5FgwWcHRugnRSeGHbRD97scRUJtnm+seB6/ZP8cK2TfvcJU+AXT/GTXvDgTyXitUtceYbfjG4cVoM1/pC6flt9+z5pVJ7Q48D+/MZprMpXlja2JLgthNw44FpnlvaqhQ9f8m7f9ePUfm4bjFP0W9ipFFvtji9Uh4bvQv9GYZnLxW54WB+LAI/FgwWkEwI1+6f4tmLWzfHMxeK3HBweqya3XWLeU4tb2zpf/u8v4mvH+MBrBOznr1YbD/3rBZYYzxM9Li+2TWuVkvxzYtFbj40Pa5hISJcdyDP80slVNdzOwE3HMjz0nJ5S/2f5y5592+sa+zglXP5/FKJZkuNdS6vWZgklRCeudAZl1KKZy4UufngeMYVCwZLuPXwDE+dL2x57tlLRW4+OL5DDrxNW2u02hw5wFPnixyZzY0lVFXjJn8DfLNLmD7hF4O7bQxJZBpT2RTXLEzy9IXOXJ5ZLVOuNbnl8PgOE4BbDk3z5PnCjopKAu8AbrYUL3RRqU+eLzA/lRlLzSsNfch2H8BPnvPm9dbD41tj2VSSGw7kebLrvLhcqrFaro9NYMWCwRJuPTLD+fVKu2jdubVNLpdqY12AALcf8bI+H395vf3cY2fXeNWx8WTKahzdN8F0tlMZFOCJcwVmJ9JjCyPUeMWhaZ4+f+VhcvOh8c7lbUdmWCvX247exA6xGG4/6q2xx852r7F1Xnl0dqxWzUI+y/58dssB/NT5AplUYqy0IMAt2xRJvQ9iwfDXDLcd0ZvDq3T5/7d3r0FRXmcAx//PAoLGC15QURBBjRciomFUiibGmNSQ3tKmM0naSdoxZabTD+lMZ9o4melMP/RDvjSZdNpY26amM53apG1aa9Om3s1oooLxFhVBQPEKKOCFCAJPP7wHuugi1JV9l93nN7Oz+549zJ5nOfue97yX591/uhGABVm33f00omZMGM6QxACH3Y+2qaWNU5dayMsc1cdfDqxAQMifktqdGRTgYG0TuZNG+r6LJC8jlaqG6913vys91UhyYsD3QT7XrYAPuv9ltAwM2WPvY0RyYnff/6ytg4q6a+Rl+NvHABbc0sf2n/b6mB8paoI9MHkUF6+0dl9jVFbTSEJAyM/0Z4PNBoYBMn9KKkkJwsdVXt6YfdWXSUkKMNvnlUlSQoC8yaPY4/LZfFx1CYCCrDF+NguA+ZmplF+4wtUbN2m83sbR81dYnDPW72axMNv7bvbVeN/Z3urL5GemMiTR359P7qSRDE1KYHdlA+DlSooGgYAwLzOVfdXextCe6kt0dCoFU/3vYwuyRlPdcJ2Ga61cb23nYG1TVPSxRa6P7XHri701l8mdNJJhQyJ7c6ouNjAMkGFDEpmfOZqdJ7ykdZuP1VE0bRxJPm+ZACybmcbhs83UXb3BtuP1jEhJZIFPSdeCLZmRRqfCtvJ6dlbUowpF0/3/0eZljCIlKcD2E/VcaL7BkXPNFE0f53ezSE5MYGH2mO6cSdEyYwB4+P40yi9e5UxjC9vL60lODHSv/Pz0uWlef9p6rI5dlQ20dyqFUTAwzE4fyciURHZW1HP5ehtlpxp97WP+r6Vi2BNzJ3L0/BXW7KjibNNnrHxgot9NAuDxXK8da7ZX8c/D53l01njfp9IAD2aNJm1EMu+W1rJ+by2TU4eSn+nvrjfwVsArcyfyj4PnWLe7BlX44rxJfjcLoEefCvj/L+z22JwJALy9u4a/HTjLsplpEb+nQChzJ48ia+ww3imtZf2+WsYNT6Zwmv8DQ0JAeDIvnX8dvsC6XdV0dCpPzk33rT1R1JViz9cezGD0sCRe/fdxJqcOjZqVyf0TRrBi9gTe2lXNtdZ2Sh6a5neTAO/HUbI0hw8rGvio6hLfLpoa8Vst9uZbRdlcb21nzY6TPDprvO8HK7s8Nf9/2eyF6PiuwLuat3juRH79YTVNLTcpeSjH7yYB3im9Ly7NofRUI1uP1/FCYVZUzOIBni+cys2OTt7YWknR9LG+no0nvd3PNpoVFBRoaWmp383olyNnm3mntJbnFk1hls9nsQRrbrnJL3dUsjhnLI/MHO93c7q1d3Tyu101tHV08t2Hp/mWpiCUzUcvUna6ke8szYn4TePvpOLiVdbvq+VHK2f5ftwjWFNLG29uP8m8zFSKfdz6vVVnp/L7j2pobe/kxaU5UbPxAbDzRD27Tjawakn2gNxRTkTKVLWgz3o2MBhjTHzo78AQPZsXxhhjooINDMYYY3oIa2AQka+LyKci0ikivU5PRGSliJSLSKWIvBxUni0ie0SkQkT+JCLRs+PWGGPiVLgzhiPAV4GdvVUQkQTgF8ATwBzgWRGZ495+FXhNVWcAjcCqMNtjjDEmTGENDKp6TFXL+6i2EKhU1SpVbQPWA18WL8/BcuDPrt7bwFfCaY8xxpjwReIYw2SgNmj5jCsbCzSpavst5SGJSImIlIpIaX19/YA11hhj4l2fiThEZDMQ6pLdV1T17/34jFAnCesdykNS1bXAWvBOV+3H5xpjjLkLfQ4MqroizM84A2QGLWcA54AGIFVEEt2soavcGGOMjyKRum8fMENEsoGzwDPAc6qqIrINeBrvuMMLQH9mIJSVlTWIyKm7bM84vEEpnljM8cFijg/hxJzVn0phXfksIk8BPwfSgCbggKp+XkQmAb9R1WJXrxh4HUgA3lLVn7ryHLxBYQzwCfBNVW29/ZPuHREp7c+Vf7HEYo4PFnN8iETMYc0YVPU94L0Q5eeA4qDl94H3Q9SrwjtryRhjTJSwK5+NMcb0EI8Dw1q/G+ADizk+WMzxYcBjHpTZVY0xxgyceJwxGGOMuQMbGIwxxvQQVwNDb1leBzsReUtE6kTkSFDZGBHZ5DLXbhKR0a5cROQN9x0cEpEF/rX87ohIpohsE5FjLrvvS648lmNOEZG9InLQxfwTVx4yQ7GIJLvlSvf+VD/bHw4RSRCRT0Rko1uO6ZhFpEZEDovIAREpdWUR7dtxMzD0keV1sFsHrLyl7GVgi8tcu8Utgxf/DPcoAd6MUBvvpXbgB6o6G1gMfM/9L2M55lZguarOA/KBlSKymN4zFK8CGlV1OvCaqzdYvQQcC1qOh5gfUdX8oOsVItu3VTUuHkAh8EHQ8mpgtd/tuofxTQWOBC2XA+nudTpQ7l7/Cng2VL3B+sC7Yv6xeIkZGAbsBxbhXQGb6Mq7+zjwAVDoXie6euJ32+8i1gy8FeFyYCNejrVYj7kGGHdLWUT7dtzMGOg9y2usmqCq5wHc83hXHlPfg9tdMB/YQ4zH7HapHADqgE3ASXrPUNwds3u/GS+j8WDzOvBDoNMt3ykrc6zErMB/RKRMREpcWUT7diRyJUWL/yubawyLme9BRIYDfwG+r6pXvFt8hK4aomzQxayqHUC+iKTiZRyYHaqaex70MYvIF4A6VS0TkWVdxSGqxkzMTpGqnhOR8cAmETl+h7oDEnM8zRh6y/Iaqy6KSDqAe65z5THxPYhIEt6g8AdV/asrjumYu6hqE7Ad7/hKqoh0beAF2GcXrAAAAUxJREFUx9Uds3t/FHA5si0NWxHwJRGpwcupthxvBhHLMaNeSiFUtQ5vA2AhEe7b8TQwdGd5dWcxPANs8LlNA2kDXsZa6Jm5dgPwvDubYTHQ3DVFHSzEmxr8Fjimqj8LeiuWY05zMwVEZCiwAu+AbFeGYrg95q7v4mlgq7qd0IOFqq5W1QxVnYr3e92qqt8ghmMWkftEZETXa+BxvFsoR7Zv+32gJcIHdYqBE3j7Zl/xuz33MK4/AueBm3hbEKvw9q1uASrc8xhXV/DOzjoJHAYK/G7/XcS7BG+6fAg44B7FMR5zHl4G4kNuRfFjV54D7AUqgXeBZFee4pYr3fs5fscQZvzLgI2xHrOL7aB7fNq1nop037aUGMYYY3qIp11Jxhhj+sEGBmOMMT3YwGCMMaYHGxiMMcb0YAODMcaYHmxgMMYY04MNDMYYY3r4L5FoplOAD+kYAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "199 \t MSE Tensor(shape=[], dtype=float32, place=Place(cpu), stop_gradient=False,\n",
      "       0.00406484)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "299 \t MSE Tensor(shape=[], dtype=float32, place=Place(cpu), stop_gradient=False,\n",
      "       0.00233176)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "399 \t MSE Tensor(shape=[], dtype=float32, place=Place(cpu), stop_gradient=False,\n",
      "       0.00147413)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "499 \t MSE Tensor(shape=[], dtype=float32, place=Place(cpu), stop_gradient=False,\n",
      "       0.00095675)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "599 \t MSE Tensor(shape=[], dtype=float32, place=Place(cpu), stop_gradient=False,\n",
      "       0.00058374)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for iteration in range(n_iterations):\n",
    "    X_batch,Y_batch = dataX,dataY\n",
    "    out=model(X_batch)\n",
    "    avg_loss=mse_loss(out,Y_batch)\n",
    "    avg_loss.backward()\n",
    "    opt.step()\n",
    "    opt.clear_grad()\n",
    "    if(iteration+1)%100==0:\n",
    "        print(iteration,\"\\t MSE\" ,avg_loss)\n",
    "        prediction = np.reshape(out,(-1,))\n",
    "        plt.plot(prediction)\n",
    "        plt.title('After{}training,fitting result' .format(iteration))\n",
    "        plt.show()\n",
    "        num_batches=X_batch.shape[0]\n",
    "        sequence=X_batch[num_batches-1,:,0].numpy().tolist()\n",
    "        prediction_iter = 100\n",
    "        for iteration in range(prediction_iter):\n",
    "            x_batch=np.array(sequence[-time_steps:]).reshape(1,time_steps,1)\n",
    "            x_batch=paddle.to_tensor(x_batch,dtype='float32')\n",
    "            y_pred = model(x_batch)\n",
    "            sequence.append(y_pred.numpy()[0,-1,0])\n",
    "        plt.plot(sequence[-prediction_iter:])\n",
    "        plt.title( 'prediction' .format(iteration))\n",
    "        plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [],
   "source": [
    "paddle.save(model.state_dict(), 'rnn.pdparams')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "model=rnn()\n",
    "params_file_path='rnn.pdparams'\n",
    "param_dict=paddle.load(params_file_path)\n",
    "model.load_dict(param_dict)\n",
    "num_batches=dataX.shape[0]\n",
    "sequence=dataX[num_batches-1,:,0].numpy().tolist()\n",
    "prediction_iter=500\n",
    "for iteration in range(prediction_iter):\n",
    "    x_batch=np.array(sequence[-time_steps:]).reshape(1,time_steps,1)\n",
    "    x_batch = paddle.to_tensor(x_batch,dtype='float32')\n",
    "    y_pred=model(x_batch)\n",
    "    sequence.append(y_pred.numpy()[0,-1,0])\n",
    "plt.plot(sequence[-prediction_iter:])\n",
    "plt.title('预测结果'.format(iteration))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
